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Integrate the functions1/(sqrt(8+3x-x^2)...

Integrate the functions`1/(sqrt(8+3x-x^2))`

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To solve the integral \( \int \frac{1}{\sqrt{8 + 3x - x^2}} \, dx \), we will follow these steps: ### Step 1: Rewrite the expression under the square root We start with the expression \( 8 + 3x - x^2 \). To facilitate integration, we will rewrite it in a form that resembles \( a^2 - (x - b)^2 \). \[ 8 + 3x - x^2 = - (x^2 - 3x - 8) \] ...
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